How do you find the domain and range of #2x + x^2 - x^3#?

1 Answer
marfre
Jul 12, 2018

Domain: #(-oo, oo) " or all Reals"#
Range: #(-oo, oo) " or all Reals"#

Explanation:

Given: #2x + x^2 - x^3#

In descending order: #-x^3 + x^2 + 2x#

This function has no limiting conditions such as a radical (square root) or a denominator that can't be #= 0# or an exponential or logarithmic function.

That means that both the domain and range are #" all Reals"#

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